Question

A sum of money invested at 10% per annum for 3 / 2 years yields rupees 26.25 more when compounded half yearly than when compounded annually.find the sum​

Answer 1

Step-by-step explanation:

Let the sum of money=Rs.x

Rate =10% per annum

Amount=P(1+

100

R

)

n

For the first year

Amount=x(1+

100

10

)=

10

11

x

Interest=

10

11

x−x=

10

1

x

For the second year

P=Rs.

10

11

x

Amount=

10

11

x(1+

100

10

)=

100

121

x

For the third year

P=Rs.

100

121

x

Amount=

100

121

(1+

100

10

)=

1000

1331

x

Interest=

1000

1331

x−

100

121

x=

1000

121

x

According to the question

The interest for the first year plus interest for the third year=Rs.2652

⇒

10

1

x+

1000

121

x=2652

⇒0.221x=2652

⇒x=

0.221

2652

⇒x=12000

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Answer 2

Answer:

Ur answer is 12000....